Constraints on Cosmographic Functions of Cosmic Chronometers Data Using Gaussian Processes

We study observational constraints on the cosmographic functions up to fourth derivative of scale factor with respect cosmic time, i.e., so-called snap function, using non-parametric method Gaussian Processes. As data we use Hubble parameter data. Also mock sets estimate future forecast and performance this type constrain functions. The combination between a is investigated as strategy reconstruct In addition, our results are quite general because they not restricted specific functional dependency parameter. investigate some advantages instead series, since former definitions free approximations. general, do deviate significantly from $\Lambda CDM$. determine transition redshift $z_{tr}=0.637^{+0.165}_{-0.175}$ $H_{0}=69.45 \pm 4.34$. assuming priors for constant obtain $z_{tr}=0.670^{+0.210}_{-0.120}$ $H_{0}=67.44$ (Planck) $z_{tr}=0.710^{+0.159}_{-0.111}$ $H_{0}=74.03$(SH0ES). Our main summarized in table 2.